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Finding the Third Proportional to 8,106.75 and 10,897.88

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Solution

The third proportional to 8,106.75 and 10,897.88 is: 14,649.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.75 : 10,897.88 = 10,897.88 : x
  2. Step 2: Convert to fraction form
    8,106.75/10,897.88 = 10,897.88/x
  3. Step 3: Cross multiply
    8,106.75x = 10,897.88 × 10,897.88
  4. Step 4: Simplify right side
    8,106.75x = 118,763,679.52
  5. Step 5: Solve for x
    x = 118,763,679.52/8,106.75
  6. Step 6: Final answer
    x = 14,649.97

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.